There is a theorem in Geometry stating that the square of the tangent segment (ST) is equal to the product of the external secant segment (TR) and the whole secant segment (TQ).
SQ x SQ = TR x TQ
SQ squared = 7 x 30
SQ squared = 210
SQ =
When an integer is subtracted from 4 times the next consecutive integer, the difference is 19. Find the value of the lesser inte
1 answer:
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There is a theorem in Geometry stating that the square of the tangent segment (ST) is equal to the product of the external secant segment (TR) and the whole secant segment (TQ).
SQ x SQ = TR x TQ
SQ squared = 7 x 30
SQ squared = 210
SQ =
Answer:
x=4
Step-by-step explanation:
We are given that the triangles are congruent.
Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.
Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.